TY - JOUR
T1 - Azimuth fractional transformation of the fractional chirp scaling algorithm (FrCSA)
AU - Amein, A.
AU - Soraghan, J.J.
PY - 2006/10
Y1 - 2006/10
N2 - The fractional chirp scaling algorithm (FrCSA) is based on the use of the fractional Fourier transform (FrFT) within the chirp scaling algorithm (CSA). In this paper, a closed-form expression for the azimuth FrFT of the FrCSA is mathematically derived and analyzed from the high-resolution synthetic aperture radar imaging point of view. The azimuth-FrFT expression of the FrCSA is compared to that of the classical fast Fourier transform (FFT)-based CSA. As the FFT is a special case of the generalized FrFT, the derived expression is found to be in total agreement with that of the FFT-based CSA when the transformation order is equal to unity; that is the angle of rotation is equal to Π/2.
AB - The fractional chirp scaling algorithm (FrCSA) is based on the use of the fractional Fourier transform (FrFT) within the chirp scaling algorithm (CSA). In this paper, a closed-form expression for the azimuth FrFT of the FrCSA is mathematically derived and analyzed from the high-resolution synthetic aperture radar imaging point of view. The azimuth-FrFT expression of the FrCSA is compared to that of the classical fast Fourier transform (FFT)-based CSA. As the FFT is a special case of the generalized FrFT, the derived expression is found to be in total agreement with that of the FFT-based CSA when the transformation order is equal to unity; that is the angle of rotation is equal to Π/2.
KW - shirp scaling
KW - fractional Fourier
KW - high resolution
UR - http://ieeexplore.ieee.org/iel5/36/35979/01704980.pdf?tp=&arnumber=1704980&isnumber=35979
UR - http://dx.doi.org/10.1109/TGRS.2006.877757
U2 - 10.1109/TGRS.2006.877757
DO - 10.1109/TGRS.2006.877757
M3 - Article
VL - 44
SP - 2871
EP - 2879
JO - IEEE Transactions on Geoscience and Remote Sensing
JF - IEEE Transactions on Geoscience and Remote Sensing
SN - 0196-2892
IS - 10
ER -